##  [Contact Geometry](/index.php/contact-geometry) 

  ##  [Contact Geometry](https://puremath.quantumdictionary.io/contact-geometry-0) 

  

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- Mathematics & Logic -

**Pure Mathematics Dictionary**

 







 

 

 

 



 

 

 

 

Definition

The study of odd-dimensional geometric structures defined by a maximally nonintegrable hyperplane field (a contact distribution) on a manifold and the diffeomorphisms that preserve it (contactomorphisms). It treats local normal forms, invariants, Legendrian and transverse submanifolds, and dynamical phenomena such as Reeb flows.